Two children hang by their hands from the same tree branch. The branch is straig
ID: 1496938 • Letter: T
Question
Two children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree trunk at an angle of 25.9° above the horizontal. One child, with a mass of 46.0 kg, is hanging 1.26 m along the branch from the tree trunk. The other child, with a mass of 38.1 kg, is hanging 2.31 m from the tree trunk. What is the magnitude of the net torque exerted on the branch by the children? Assume that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.
Explanation / Answer
Torque due to masses
T = 46 x9.8 x1.26 cos 25.9 + 38.1x9.81x2.31cos25.9
torque = 1288.144 Nm
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